Скачать или смотреть 大學數學極速教(代數編) EP2 線性方程組與LU分解 | 廣東話 Speedy Maths at Uni (Linear Algebra) -- System of Linear Equations

0:00 以矩陣表方程組 Matrix representation of linear systems
1:52 上三角形及下三角形矩陣、A = LU分解的用途 Upper and lower triangular matrices, Purpose of A = LU Factorization
4:18 消元法、列運算與逆向代入法 Method of Elimination, Row Operation, and Backward Substitution
8:51 列運算的初等矩陣 Elementary Matrices of Row Operations
10:19 初等矩陣的逆矩陣 Inverse of Elementary Matrices
12:12 置換矩陣 Permutation Matrices

本集主題：初等矩陣、PA = LU分解法
Theme of this episode: Elementary Matrices, PA = LU decomposition

本片將比較解方程及矩陣結構上的特徵。
This video contrasts solving linear systems and structural characteristics of matrices.

生活上任何決定都不只一個變量。我們從數線走向平面及立體，勘探多維世界的基礎規律。
Every decision in life involves more than one variable. By transitioning from lines to planes and solids, we explore fundamental patterns in our multi-dimensional world.

本頻道旨在以淺白的方式介紹大學數學本科的內容，同時亦會利用較初階數學課題協助眾位學生鑽研屬於自己的解題心法。小弟個人分享，不吝賜正。 This channel aims to introduce degree mathematics, requiring minimal foundation from the audience. At the same time, we help students build their own system on problem solving using topics of elementary mathematics. Comments on mistakes are very welcomed.